The ministry said the first case was a man in his 50s who arrived on 14 July from Afghanistan via Dubai, and tested positive in his day 12 test.
The second case was a man in his 40s who travelled from the Phillipines via Hong Kong, and was symptomatic on arrival on Monday, 27 July, so was taken straight to a quarantine facility in Auckland. He was tested on arrival and tested positive.
With no cases considered recovered today, the number of active cases is 23.
Minister in charge of managed isolation facilities Megan Woods said the charges would apply to those who entered the country temporarily, or those who left after the regulations came into force.